New p-Ary Sequences with Low Correlation and Large Family Size

Fang LIU; Daiyuan PENG; Xiaohu TANG; Xianhua NIU

doi:10.1587/transfun.E93.A.2245

Special Section on Signal Design and its Application in Communications

New p-Ary Sequences with Low Correlation and Large Family Size

Fang LIU, Daiyuan PENG, Xiaohu TANG, Xianhua NIU

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Keywords: code-division multiple-access (CDMA), p-ary sequence, quadratic form, low correlation, large linear span

JOURNAL RESTRICTED ACCESS

2010 Volume E93.A Issue 11 Pages 2245-2250

DOI https://doi.org/10.1587/transfun.E93.A.2245

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Abstract

For an odd prime p, two new families of p-ary sequences of period pⁿ - 1 are constructed for odd n = 2l + 1 = (2m + 1)e and even n = 2l = 2me, respectively. It is shown that, for a given integer ρ with 1 ≤ ρ ≤ m, the proposed sequence families both have maximum correlation magnitude $1+p^{\\frac{n+2(\\ ho-1)e+2}{2}}$, family size (pⁿ - 1)p^(ρ-1)n + 1, and maximum linear span $\\frac{n(n+3)}{2}$.

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